Difference between revisions of "Fortune's Fire Resort & Casino"

m (u/c)
 
m
Line 18: Line 18:
 
|}
 
|}
  
Note that the house wins on three of a kind, both on 3 and 18. While '''High'''''Italic text'', '''Low'''''Italic text'' and '''Medium'''''Italic text'' pays even (2:1), Outside pays quintuple times (5:1). It might seem '''''Outside''''' is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (19/108 to be exact) for the total to be any of these numbers. If we check the probability density function:
+
Note that the house wins on three of a kind, both on 3 and 18. While '''''High''''', '''''Low''''' and '''''Medium''''' pays even (2:1), '''''Outside''''' pays quintuple times (5:1). It might seem '''''Outside''''' is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (19/108 to be exact) for the total to be any of these numbers. If we check the probability density function:
  
 
[[File:Hi middle lo probability density function.png]]
 
[[File:Hi middle lo probability density function.png]]
  
 
'''''High''''' and '''''Low''''' are the best bets both having 107 / 216 chance while both '''''Medium''''' has 25 / 54.
 
'''''High''''' and '''''Low''''' are the best bets both having 107 / 216 chance while both '''''Medium''''' has 25 / 54.

Revision as of 05:55, 22 August 2012

Dice Games

Chuckles' Luck

Hi-Middle-Lo

In this game, the dealer rolls three cube six-sided dice. The bet is placed according to the total of the three dice:

Low High
4 5 6 7 8 9 10 11 12 13 14 15 16 17
Outside Middle Outside

Note that the house wins on three of a kind, both on 3 and 18. While High, Low and Medium pays even (2:1), Outside pays quintuple times (5:1). It might seem Outside is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (19/108 to be exact) for the total to be any of these numbers. If we check the probability density function:

Hi middle lo probability density function.png

High and Low are the best bets both having 107 / 216 chance while both Medium has 25 / 54.